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Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups

Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups

Abstract A Grigorchuk–Gupta–Sidki (GGS)-group is a subgroup of the automorphism group of the p -regular rooted tree for an odd prime p , generated by one rooted automorphism and one directed automorphism. Pervova proved that all torsion GGS-groups do not have maximal subgroups of infinite index. Here, we extend the …